stokes_obstacle_slip_regul.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
point n_exact (const point& x) { return -x; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
Float eps = (argc > 2) ? atof(argv[2]) : 1e-7;
space Xh (omega, "P2", "vector");
Xh.block ("downstream");
Xh[1].block ("wall");
Xh[1].block ("axis");
Xh[1].block ("vaxis");
space Qh (omega, "P1");
trial u (Xh), p (Qh);
test v (Xh), q (Qh);
form a = integrate (2*ddot(D(u),D(v)))
+ (1/eps)*integrate("obstacle",dot(u,n_exact)*dot(v,n_exact));
form b = integrate (-div(u)*q);
field uh (Xh,0);
uh[0]["downstream"] = 1;
field ph (Qh, 0);
problem_mixed stokes (a, b);
stokes.solve (field(Xh,0), field(Qh,0), uh, ph);
dout << catchmark("u") << uh
<< catchmark("p") << ph;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
point
see the point page for the full documentation
problem_mixed
see the problem_mixed page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef::D
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type D(const Expr &expr)
D(uh): see the expression page for the full documentation.
Definition: field_expr_terminal.h:969
rheolef::div
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::divergence >>::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1031
rheolef.h
rheolef - reference manual
main
int main(int argc, char **argv)
Definition: stokes_obstacle_slip_regul.cc:29
n_exact
point n_exact(const point &x)
Definition: stokes_obstacle_slip_regul.cc:28
a
Definition: diffusion_isotropic.h:25
p
Definition: sphere.icc:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26